6906145743360 has 200 divisors, whose sum is σ = 24735632645196. Its totient is φ = 1841638809600.

The previous prime is 6906145743353. The next prime is 6906145743361. The reversal of 6906145743360 is 633475416096.

6906145743360 is a `hidden beast` number, since 6 + 9 + 0 + 6 + 1 + 4 + 574 + 3 + 3 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5585999894784 + 1320145848576 = 2363472^2 + 1148976^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6906145743297 and 6906145743306.

It is not an unprimeable number, because it can be changed into a prime (6906145743361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16445191 + ... + 16859910.

Almost surely, 2^{6906145743360} is an apocalyptic number.

6906145743360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6906145743360 is an abundant number, since it is smaller than the sum of its proper divisors (17829486901836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6906145743360 is an equidigital number, since it uses as much as digits as its factorization.

6906145743360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33305136 (or 33305111 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 6906145743360 in words is "six trillion, nine hundred six billion, one hundred forty-five million, seven hundred forty-three thousand, three hundred sixty".